{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Helmholtz equation\n",
    "\n",
    "We present a differentiable solver for the Helmholtz equation, based on `torch-harmonics`. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import paddle\n",
    "import paddle.nn as nn\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.animation as animation\n",
    "\n",
    "from math import ceil\n",
    "\n",
    "import sys\n",
    "sys.path.append(\"../\")\n",
    "from paddle_harmonics.sht import *\n",
    "from paddle_harmonics.examples import SphereSolver\n",
    "\n",
    "cmap='twilight_shifted'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "device = paddle.CUDAPlace(0) if paddle.device.cuda.device_count() > 0 else paddle.CPUPLace()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We define a shallow water solver class in `shallow_water_equations.py`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "W1106 15:16:55.289651 54891 gpu_resources.cc:119] Please NOTE: device: 0, GPU Compute Capability: 7.5, Driver API Version: 12.3, Runtime API Version: 12.4\n",
      "W1106 15:16:55.290262 54891 gpu_resources.cc:164] device: 0, cuDNN Version: 9.4.\n",
      "W1106 15:16:56.095610 54891 dygraph_functions.cc:84457] got different data type, run type promotion automatically, this may cause data type been changed.\n"
     ]
    }
   ],
   "source": [
    "# initialize parameters:\n",
    "nlat = 128\n",
    "nlon = 2*nlat\n",
    "lmax = ceil(nlon/4)\n",
    "mmax = lmax\n",
    "\n",
    "# timestepping\n",
    "dt = 0.001\n",
    "maxiter = int(10 / dt)\n",
    "\n",
    "# initialize solver class\n",
    "solver = SphereSolver(nlat, nlon, dt, lmax=lmax, mmax=mmax, coeff=0.01).to(device)\n",
    "\n",
    "lons = solver.lons\n",
    "lats = solver.lats\n",
    "\n",
    "jj, ii = paddle.triu_indices(lmax, mmax)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# def compute_initial_condition(solver, device=torch.device('cpu')):\n",
    "#     \"\"\"\n",
    "#     Computes the initial condition\n",
    "#     \"\"\"\n",
    "\n",
    "#     lats, lons = torch.meshgrid(solver.lats, solver.lons)\n",
    "\n",
    "#     u0 = torch.zeros(nlat, nlon)\n",
    "#     u0 = torch.sin(lats) * torch.cos(3 * lons)\n",
    "#     u0spec = solver.grid2spec(u0)\n",
    "\n",
    "#     return torch.tril(u0spec)\n",
    "\n",
    "# uspec0 = compute_initial_condition(solver, device=device)\n",
    "\n",
    "# solver.plot_specdata(uspec0, title='Initial condition t=0', vmax=1., vmin=-1.)\n",
    "# plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "preparing the simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "uspec0 = solver.randspec()\n",
    "fig = plt.figure(figsize=(8, 6), dpi=72)\n",
    "solver.plot_specdata(uspec0, fig, cmap=cmap)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "t=0.00\n",
      "t=0.02\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "W1106 15:18:10.862908 54891 multiply_fwd_func.cc:76] got different data type, run type promotion automatically, this may cause data type been changed.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "t=0.04\n",
      "t=0.06\n",
      "t=0.08\n",
      "t=0.10\n",
      "t=0.12\n",
      "t=0.14\n",
      "t=0.16\n",
      "t=0.18\n",
      "t=0.20\n",
      "t=0.22\n",
      "t=0.24\n",
      "t=0.26\n",
      "t=0.28\n",
      "t=0.30\n",
      "t=0.32\n",
      "t=0.34\n",
      "t=0.36\n",
      "t=0.38\n",
      "t=0.40\n",
      "t=0.42\n",
      "t=0.44\n",
      "t=0.46\n",
      "t=0.48\n",
      "t=0.50\n",
      "t=0.52\n",
      "t=0.54\n",
      "t=0.56\n",
      "t=0.58\n",
      "t=0.60\n",
      "t=0.62\n",
      "t=0.64\n",
      "t=0.66\n",
      "t=0.68\n",
      "t=0.70\n",
      "t=0.72\n",
      "t=0.74\n",
      "t=0.76\n",
      "t=0.78\n",
      "t=0.80\n",
      "t=0.82\n",
      "t=0.84\n",
      "t=0.86\n",
      "t=0.88\n",
      "t=0.90\n",
      "t=0.92\n",
      "t=0.94\n",
      "t=0.96\n",
      "t=0.98\n",
      "t=1.00\n",
      "t=1.02\n",
      "t=1.04\n",
      "t=1.06\n",
      "t=1.08\n",
      "t=1.10\n",
      "t=1.12\n",
      "t=1.14\n",
      "t=1.16\n",
      "t=1.18\n",
      "t=1.20\n",
      "t=1.22\n",
      "t=1.24\n",
      "t=1.26\n",
      "t=1.28\n",
      "t=1.30\n",
      "t=1.32\n",
      "t=1.34\n",
      "t=1.36\n",
      "t=1.38\n",
      "t=1.40\n",
      "t=1.42\n",
      "t=1.44\n",
      "t=1.46\n",
      "t=1.48\n",
      "t=1.50\n",
      "t=1.52\n",
      "t=1.54\n",
      "t=1.56\n",
      "t=1.58\n",
      "t=1.60\n",
      "t=1.62\n",
      "t=1.64\n",
      "t=1.66\n",
      "t=1.68\n",
      "t=1.70\n",
      "t=1.72\n",
      "t=1.74\n",
      "t=1.76\n",
      "t=1.78\n",
      "t=1.80\n",
      "t=1.82\n",
      "t=1.84\n",
      "t=1.86\n",
      "t=1.88\n",
      "t=1.90\n",
      "t=1.92\n",
      "t=1.94\n",
      "t=1.96\n",
      "t=1.98\n",
      "t=2.00\n",
      "t=2.02\n",
      "t=2.04\n",
      "t=2.06\n",
      "t=2.08\n",
      "t=2.10\n",
      "t=2.12\n",
      "t=2.14\n",
      "t=2.16\n",
      "t=2.18\n",
      "t=2.20\n",
      "t=2.22\n",
      "t=2.24\n",
      "t=2.26\n",
      "t=2.28\n",
      "t=2.30\n",
      "t=2.32\n",
      "t=2.34\n",
      "t=2.36\n",
      "t=2.38\n",
      "t=2.40\n",
      "t=2.42\n",
      "t=2.44\n",
      "t=2.46\n",
      "t=2.48\n",
      "t=2.50\n",
      "t=2.52\n",
      "t=2.54\n",
      "t=2.56\n",
      "t=2.58\n",
      "t=2.60\n",
      "t=2.62\n",
      "t=2.64\n",
      "t=2.66\n",
      "t=2.68\n",
      "t=2.70\n",
      "t=2.72\n",
      "t=2.74\n",
      "t=2.76\n",
      "t=2.78\n",
      "t=2.80\n",
      "t=2.82\n",
      "t=2.84\n",
      "t=2.86\n",
      "t=2.88\n",
      "t=2.90\n",
      "t=2.92\n",
      "t=2.94\n",
      "t=2.96\n",
      "t=2.98\n",
      "t=3.00\n",
      "t=3.02\n",
      "t=3.04\n",
      "t=3.06\n",
      "t=3.08\n",
      "t=3.10\n",
      "t=3.12\n",
      "t=3.14\n",
      "t=3.16\n",
      "t=3.18\n",
      "t=3.20\n",
      "t=3.22\n",
      "t=3.24\n",
      "t=3.26\n",
      "t=3.28\n",
      "t=3.30\n",
      "t=3.32\n",
      "t=3.34\n",
      "t=3.36\n",
      "t=3.38\n",
      "t=3.40\n",
      "t=3.42\n",
      "t=3.44\n",
      "t=3.46\n",
      "t=3.48\n",
      "t=3.50\n",
      "t=3.52\n",
      "t=3.54\n",
      "t=3.56\n",
      "t=3.58\n",
      "t=3.60\n",
      "t=3.62\n",
      "t=3.64\n",
      "t=3.66\n",
      "t=3.68\n",
      "t=3.70\n",
      "t=3.72\n",
      "t=3.74\n",
      "t=3.76\n",
      "t=3.78\n",
      "t=3.80\n",
      "t=3.82\n",
      "t=3.84\n",
      "t=3.86\n",
      "t=3.88\n",
      "t=3.90\n",
      "t=3.92\n",
      "t=3.94\n",
      "t=3.96\n",
      "t=3.98\n",
      "t=4.00\n",
      "t=4.02\n",
      "t=4.04\n",
      "t=4.06\n",
      "t=4.08\n",
      "t=4.10\n",
      "t=4.12\n",
      "t=4.14\n",
      "t=4.16\n",
      "t=4.18\n",
      "t=4.20\n",
      "t=4.22\n",
      "t=4.24\n",
      "t=4.26\n",
      "t=4.28\n",
      "t=4.30\n",
      "t=4.32\n",
      "t=4.34\n",
      "t=4.36\n",
      "t=4.38\n",
      "t=4.40\n",
      "t=4.42\n",
      "t=4.44\n",
      "t=4.46\n",
      "t=4.48\n",
      "t=4.50\n",
      "t=4.52\n",
      "t=4.54\n",
      "t=4.56\n",
      "t=4.58\n",
      "t=4.60\n",
      "t=4.62\n",
      "t=4.64\n",
      "t=4.66\n",
      "t=4.68\n",
      "t=4.70\n",
      "t=4.72\n",
      "t=4.74\n",
      "t=4.76\n",
      "t=4.78\n",
      "t=4.80\n",
      "t=4.82\n",
      "t=4.84\n",
      "t=4.86\n",
      "t=4.88\n",
      "t=4.90\n",
      "t=4.92\n",
      "t=4.94\n",
      "t=4.96\n",
      "t=4.98\n",
      "t=5.00\n",
      "t=5.02\n",
      "t=5.04\n",
      "t=5.06\n",
      "t=5.08\n",
      "t=5.10\n",
      "t=5.12\n",
      "t=5.14\n",
      "t=5.16\n",
      "t=5.18\n",
      "t=5.20\n",
      "t=5.22\n",
      "t=5.24\n",
      "t=5.26\n",
      "t=5.28\n",
      "t=5.30\n",
      "t=5.32\n",
      "t=5.34\n",
      "t=5.36\n",
      "t=5.38\n",
      "t=5.40\n",
      "t=5.42\n",
      "t=5.44\n",
      "t=5.46\n",
      "t=5.48\n",
      "t=5.50\n",
      "t=5.52\n",
      "t=5.54\n",
      "t=5.56\n",
      "t=5.58\n",
      "t=5.60\n",
      "t=5.62\n",
      "t=5.64\n",
      "t=5.66\n",
      "t=5.68\n",
      "t=5.70\n",
      "t=5.72\n",
      "t=5.74\n",
      "t=5.76\n",
      "t=5.78\n",
      "t=5.80\n",
      "t=5.82\n",
      "t=5.84\n",
      "t=5.86\n",
      "t=5.88\n",
      "t=5.90\n",
      "t=5.92\n",
      "t=5.94\n",
      "t=5.96\n",
      "t=5.98\n",
      "t=6.00\n",
      "t=6.02\n",
      "t=6.04\n",
      "t=6.06\n",
      "t=6.08\n",
      "t=6.10\n",
      "t=6.12\n",
      "t=6.14\n",
      "t=6.16\n",
      "t=6.18\n",
      "t=6.20\n",
      "t=6.22\n",
      "t=6.24\n",
      "t=6.26\n",
      "t=6.28\n",
      "t=6.30\n",
      "t=6.32\n",
      "t=6.34\n",
      "t=6.36\n",
      "t=6.38\n",
      "t=6.40\n",
      "t=6.42\n",
      "t=6.44\n",
      "t=6.46\n",
      "t=6.48\n",
      "t=6.50\n",
      "t=6.52\n",
      "t=6.54\n",
      "t=6.56\n",
      "t=6.58\n",
      "t=6.60\n",
      "t=6.62\n",
      "t=6.64\n",
      "t=6.66\n",
      "t=6.68\n",
      "t=6.70\n",
      "t=6.72\n",
      "t=6.74\n",
      "t=6.76\n",
      "t=6.78\n",
      "t=6.80\n",
      "t=6.82\n",
      "t=6.84\n",
      "t=6.86\n",
      "t=6.88\n",
      "t=6.90\n",
      "t=6.92\n",
      "t=6.94\n",
      "t=6.96\n",
      "t=6.98\n",
      "t=7.00\n",
      "t=7.02\n",
      "t=7.04\n",
      "t=7.06\n",
      "t=7.08\n",
      "t=7.10\n",
      "t=7.12\n",
      "t=7.14\n",
      "t=7.16\n",
      "t=7.18\n",
      "t=7.20\n",
      "t=7.22\n",
      "t=7.24\n",
      "t=7.26\n",
      "t=7.28\n",
      "t=7.30\n",
      "t=7.32\n",
      "t=7.34\n",
      "t=7.36\n",
      "t=7.38\n",
      "t=7.40\n",
      "t=7.42\n",
      "t=7.44\n",
      "t=7.46\n",
      "t=7.48\n",
      "t=7.50\n",
      "t=7.52\n",
      "t=7.54\n",
      "t=7.56\n",
      "t=7.58\n",
      "t=7.60\n",
      "t=7.62\n",
      "t=7.64\n",
      "t=7.66\n",
      "t=7.68\n",
      "t=7.70\n",
      "t=7.72\n",
      "t=7.74\n",
      "t=7.76\n",
      "t=7.78\n",
      "t=7.80\n",
      "t=7.82\n",
      "t=7.84\n",
      "t=7.86\n",
      "t=7.88\n",
      "t=7.90\n",
      "t=7.92\n",
      "t=7.94\n",
      "t=7.96\n",
      "t=7.98\n",
      "t=8.00\n",
      "t=8.02\n",
      "t=8.04\n",
      "t=8.06\n",
      "t=8.08\n",
      "t=8.10\n",
      "t=8.12\n",
      "t=8.14\n",
      "t=8.16\n",
      "t=8.18\n",
      "t=8.20\n",
      "t=8.22\n",
      "t=8.24\n",
      "t=8.26\n",
      "t=8.28\n",
      "t=8.30\n",
      "t=8.32\n",
      "t=8.34\n",
      "t=8.36\n",
      "t=8.38\n",
      "t=8.40\n",
      "t=8.42\n",
      "t=8.44\n",
      "t=8.46\n",
      "t=8.48\n",
      "t=8.50\n",
      "t=8.52\n",
      "t=8.54\n",
      "t=8.56\n",
      "t=8.58\n",
      "t=8.60\n",
      "t=8.62\n",
      "t=8.64\n",
      "t=8.66\n",
      "t=8.68\n",
      "t=8.70\n",
      "t=8.72\n",
      "t=8.74\n",
      "t=8.76\n",
      "t=8.78\n",
      "t=8.80\n",
      "t=8.82\n",
      "t=8.84\n",
      "t=8.86\n",
      "t=8.88\n",
      "t=8.90\n",
      "t=8.92\n",
      "t=8.94\n",
      "t=8.96\n",
      "t=8.98\n",
      "t=9.00\n",
      "t=9.02\n",
      "t=9.04\n",
      "t=9.06\n",
      "t=9.08\n",
      "t=9.10\n",
      "t=9.12\n",
      "t=9.14\n",
      "t=9.16\n",
      "t=9.18\n",
      "t=9.20\n",
      "t=9.22\n",
      "t=9.24\n",
      "t=9.26\n",
      "t=9.28\n",
      "t=9.30\n",
      "t=9.32\n",
      "t=9.34\n",
      "t=9.36\n",
      "t=9.38\n",
      "t=9.40\n",
      "t=9.42\n",
      "t=9.44\n",
      "t=9.46\n",
      "t=9.48\n",
      "t=9.50\n",
      "t=9.52\n",
      "t=9.54\n",
      "t=9.56\n",
      "t=9.58\n",
      "t=9.60\n",
      "t=9.62\n",
      "t=9.64\n",
      "t=9.66\n",
      "t=9.68\n",
      "t=9.70\n",
      "t=9.72\n",
      "t=9.74\n",
      "t=9.76\n",
      "t=9.78\n",
      "t=9.80\n",
      "t=9.82\n",
      "t=9.84\n",
      "t=9.86\n",
      "t=9.88\n",
      "t=9.90\n",
      "t=9.92\n",
      "t=9.94\n",
      "t=9.96\n",
      "t=9.98\n",
      "t=10.00\n"
     ]
    },
    {
     "data": {
      "image/png": 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LzvqJPj6eVLN8M7M61SYW0ZqV9Ue21mkE/XalJHbLbc9k0+wZeJ63vestfO2bXyEWG7/x3biV7cDAANdecT3H9nYzv3EpxbyBXpbhy9asLycnwszL24/BX+mK9VlZ/I+x7T8xuIlm/U4fBClbTX0VDg3vZvaKqTz8+EO0tbUJjq+2GJdvM11dXczqmEvv/hEWNC03Fa0Wt8u93KQSjOtZRTtOD1ybBUxjH3n9XZZk9iE+rGRC8P2LPW/+vV5+itYtQp+iFJjXuJSzu4aYN20hBw8e9KXvamPcRbZdXV0snbeC+Y3LaUtMsolK7aNa433BRbd2YzFdfeAytVAoEaUrvyKG2JuS05SBuzr+RbWlZazaFYpux8r1p8+zf3g7W/Y8N+6+1Xdcybarq4tl81cyr2EpbYl2S9HmtgQlW+P+xNr21q59hC7FK4JXweb2Ok81iErPe7viJ8+sZVvaloJCX7qHQ6ldPL9z87gS7rhJI+QjWmPRBouXyyyt7k7lNK1g115pfbE0Qzj3Xq08zh6zX6+B4Nhs29O3XV4/LFRUWhMTmZtcyurFF42rlMK4iGy7urpYOncF85uW0ZZoB6xPahW3uo1sy9v0Et3ajcFzikBoHA7HWsXRr7tLm+1KBJNqcC5K51GtXT/2kW1pm/nyfeke9g9tZ+ve58dFhFvzss1HtAsal9OamFTY7qdsjfd7X00g1o/1did9BSHdstoRkrD3qDx4yVq1EYxoy8vZ9eNWtgD96fO8OLiVbS++UPPCrWnZiok2t8UIb7I1bjdI4drtE+3LWYolmOnjRcrBpTacfbT32p4/+VnzvrxfnVi+X0S2+jrj5aRZzcq2q6uLlYvWMCe5uCRH6+imLRrZmte12x++cMXKeD9BZ1ezenEnaz+WXYm0EZxoy8s6EW3ubzHZ6uv2p8/Tpexl0wsba1a4NXmCrKuri+XzV5aJNir4cV9SkZMifpyEUXT/nIyw/CeKuB+n8+fG/sSZSH/OcC/aMGlNTGSmegEXLrukZk+a1VxkaxbR5gkysnXSvturu5z3bb/PS//BvpG5aTs4YfghOqftelsp4HQVi/O+xSNb+z7yy8IOpnbW5LKwmpJtPqKd17DMs2hze7IG28IQrvW4nPftvIyXMTjrI3oEITg3fbgfh1N5+yPa3Db3ss3/3Zfuqckcbs3IVnsyzHh5l7to0k10a17O6UqCYGXnXIjep0qUJOzP+lLn6R8/yljVdtam+3W3zqJasb60y8L2DW2rqWVhNSFbfeogTxCytW7HfV9BCNe+bWdlzGoGQUW+XVegZXe1ghZssRVnbbtfUuZHVGvUjvbvWkspVL1sBwYGWDDzAqZm5zHBQrRm2/J7zHArWzf9+bFsy45gxZurXTu4F2ClBWvfh7e1u0HJVr+tL91Dd8Mhdr64vervFlbVslVVlTWLL2H4WIap9bNL9/l4Umo8CtdLeauWooc/UbBTcY4v0Zr3adSe/u/u0WM0zFH447ZNVX0/3OodOfDe29/PmSPnPIrWHqOJ5GVi5veYlbde4uN9GZXTJUv68t5O3Ij+eCHYftw8H/48f8XW7OQVpmj9Rn+sTqmbwZkD53nfu/468L6DpGpl+7MHfsZ93/8x8xuXCZUPY5I479vLukv/1q66kYB/Ajbvwf2Pn6Nw/zj9f268StabaM37DV4jcxuW8KO7f8J9P/xR4H0FRVWmEXbv3s3la65kWcOlJGN1ZfuDu2GL+3SCl/7DuGeBt77Dayco/BBiJU/M2b8xu6lnX1ZMtM77N9qezqbYOfwsT256glWrVgn0Gy2qTrbnz59n4azFzFGW0JwwTpgHJdtcKW/C9TqOMHK63vqPTvtBf5oJ/tOS25ysfX2/csxhyhZgMNPPoewO9hzaRXt7u2GZqFJVss1kMiybv5L42SYm1003Lef+zljuoluxtp2U9ypcsXb8JOqRq1fCS0P5lTuNvmit2zavd3b0JOnJ/Wx/cSuJREJgDNGgqnK2H3z/3zDcnbYUbdCYTTA3E9g+v+b2JJpYO34SfA43HIweRzgRrP3rJH7y1HreOBuZF9EGQ3vdVEZOZvnr932gYmNwQ9XI9r777uOHd/yIOQ2LXbfhJRooLeWPcMXqeP0oqW0nHPEWexT/F5WxhIez1yO8eWJfR1y0wT2fsxoW8ZO7fsZdd90VWB9+UxVphBdeeIFr176MZY2XklCStuW935DFff5WvA+zNr1dSVaJS3AlovgTVYq26+XNIwzRWo1PZOwZNc2e1HM8+JtfctlllwmOq3JEXranT59m6fzlzIstpzHeIlQnLNnmSoYp3GIJ/9py37bEjqDkat92ZUWbK+22H7t9WoYzg+zPbmP73i1MmzZNeHSVINKyTaVSXHbh5aQOJ2lPdgrXC/tWg2bCddafm3pBXwkW2akRYYIUrFj71SBaq77s9unpSZ0mPm+Ejc8+TX19vXC9sIl0zvaDH/gQ5w8MOxKtHUHk5awmotv+xPKIzvN+zvKTwV80UL24e27c5Yjt2/ead7aqG8TJMD+Pw4nJyfTtT/G+972PCMeO0ZXt97//fX5658+ZWb/AcV27F1JcNE769F+42vrOVh44l6/TEY0fCXt/rN7kKrZCwQvWEaZTRXiPvN08nul1c3n4vsf5zne+47huWEQyjXDixAkWz1nGiubLhU6IGeHu+8KMSzrv2/88rrt2onTz78hNMw3+vlF4k59fqxNEe/MzmvVn7G4fW0bNsGP4Gbbsfo45c+a4aiNIIinbq6+4lrPbhzylDyr9jQVWeVxnfdv146SdKMnX+QjMqWxUHYZcvfcj3k4lRStaxoye1Gkmra7nt089gaJE69NW5NII9957H7uf2+c5T+vvi+pmjaL1U+vXus6gPp6a9RONdamVS194fw7cp3u8ItJONYsWcvnbvc8e5J57vuepnSCIVGR77tw5Zk+Zy8qWKwxvMOMU7/ecNS7tfBzhRLne2ov2jWzCILg3Dzdv1uGmNtyfBPM37eHH406rKbb2P83+rr10dvp3ct0rkZLt8jmryZ5NMKVuhm9tRkW4xZr+LxOz7zP637wQpJTDi8D9X3LlFX9PfpXW9mMMbsqJcGb0BLHOFNv2v+Bbm16JTBrhgf/9GSdPnGJysnL3PRDHy0FlvWohiI/nYX/sdYNZmsKPf8HhX1rG31HZtxuWaCtFR900Th7t5of33lfpoRSIRGTb39/PtIkzWdZyKQ2xRt/bDya6zdXwgl16IVcm+JfHnz4qPo0CxJ98adCI5US9xlfO31T8LOeE0eww2/qfoev0YSZOnOh7+06JhGyXTF9FtldhWn1wyzWCE26ulheiIt3w+qr4lCPo6CzMk4fiQgs3mnXyHAT1fJ0aPUq2eYS9J3cG0r4TKp5GeOD+n3Hq9Ak662ZVeiiA2xfd66Jy+5chzBUAwX8Mt1pZENaP348o3FUaTvpSiI1L0QJMTs7gzLmzPPbYY4H1IUpFI9vh4WEmt0xlafPFNMabA+/Pv6+wsa7pB1GLdqPYfyUIM2J1279/l9e6e6xREW2e4ewgO/s3c/L8MZqbg/eMGRWV7YIJyyClMKNhfmiTuJqEm2vJXrrFstGTXxTHZEalRWqEM3H5+UG1NkQLuTl4YuQwSmOWvae3h9KnERVLIzz//POcGTzJ9Pp5lRqCLe4/Evr3UdXJART2R1kRKr1qoNL9O8XtmPyNZt2lDaLyHBoxtW423edP8vTTT1dsDBWJbNPpNO0NU1jUvIqmeGtuICG+UG6iLe8RWmWi3Vz56okuxytO538Uothi7cpftGFFfv4PZQbYM/A8pwdOVuRWjBWR7aIJK0mNjjK78YLcICrwjhjsfWatW/ALp9ItrSsFXEnczvlql6yXel7Iz/eu4f0oCdjfG/7qhNDTCMeOHePEwBFmNiwMu+sS3H7s8T5R/E0xaH+c1Y3eR+haxUvKwstrbNVqpaLZSs+1GfXz6B48zsGDB0PvO/TIdkbjPNri7SXfkFvpF6AWolzzHtxHv8U2ZBRshx9zOJxvrB0/0awW7Rw+mzpFT7abYwMHQx1DqJHt/Xc9QF+qh45ktL4rqHITKNhLYHM9eI+IZBRcjp/Pib9Rq3kv41W0eiYlpjAw2suDDzwSar+hRrazWhbQSjsddVNLBxGhF6NyUW5pa0HjR8Rr30d1RsRBz8dqiGBLW6p+yern4rlUN32xMxw+vy+0MYQW2W58ahO9w+d8/T6xIPAysfybXOFFvEY//vXh7F8QOB2DX+MI4/k169m/cwLun48oidaIiYnJnB/sYeOGTaH1GVpkO6ttAW1qh6Fso/bCeI3IavErZcKIhKuVcCJVO/w9hrynRqJ/TPekznA+cYoj5/aHMoZQZsmePXvoHephUmJKGN15xmuE43+kFvy1/fYjqFSkFg2i9fiDmw/Rm/vBMTHZQV9/L9u3h3NVWSiR7bI5q4ida2CSSQohyi+OH1FqsLnLyke9okQxOq6uN4vgjhN/VlNU33F8PnUGtXOIbfteCHwMgc+03bt3c+z4MSZaRLVRPpHiz9nmIN/tKxvxOsEqOqzUT7QJ/rWN/vz2jpVfJiQ76Dp8jC1btgQ+jsAj28tXX8nggSwTk5OtBxLhF0uLn28M4b3JRPfNTJInnPnv53FWK8dsb/osjQth43MbAh1HoG/t27dvZ8+uvUxIdgTZTaj4PVnDmbDRj3rHL+G8Nn7PtWoRrQitiUm8uGM/mzdvDrSfQCPbG65dx6k/9gvLttpewGh8K673XiVhUYkTm9FapRA2osdUX7qHthVxntzwu8DGElhk+8ILL7Bl03baku1BdVFxgogWws9/GZ3Zro4ccDSp/HMZxDyKel7WKy2JCezZso+NGzcG1kdgke0tt9zCod+epjUxSfhFqvYXM8jINFonEaM0lkoRnbka5HEzXo5JFZWBdC+da5t45NFgLuMNJLLdvHkzz/1+K62JSY7qRUsozgnjSqhoUPnoLRyi/TjHz3xzh1OfNCfa2P3cPp566qlAxhNIZPvqV7+aQ0+coSUxIdeJwxet2l/kPGG9eVT7m1Qpfj6W2phHEN4xMV6PvXz5wUwfU9Y28sgj/ke3vke2hw8f5vmntxREO54J49p/fT/Vj10O2clPdRP23KmN+eONpngrB3YdZs+ePb637bts77zzTuoHpWiNqMTBIw+g6iHM103ODXMSPc3ccccdvrfraxohm80yf84Cpg8sJq4kip24eFHHy0SoVAqgtlIP1UWl5rY8psTqZNUMx1v28OKBvSQSCYtazvA1sn3iiScYPaOWiFZiTaUiDBkBh0MUnmf5+jojpsRJn1F46KGHfG3X18j2ta9+HfufOElrYmJpJy5f6PE+QaIQfUZhDNVCFOZrFMZQSfy6+f9Aupepa1t4+FH/hOubbHt6epg7dQErmtaiKOUvuBSue6IsvCiPzW+iPBejPLaw8PtbVnYMPsOuQ9uZOnWq4X6n+JZGuPvuu5kU7zQUrRfG08FsRpQ/6ht9TDb7F0WqefxRHlvYBOGJ9vhU7rzzTt/a8y2ynd4+i1nZJdTF6o078jgh5IQyR74h1T5y/psT1DerpLMpjtbt4ujJw74Ekb5Etlu2bGG0P20qWojiV83UDjK6qV3ka2tNkF5JxJKke7M888wznvrI40tke8NVN3Fsyxna66xzG35MGjnxnCPfqKoDObedEca3qJxPnWb6RZN49HcPe+7Ls2xHRkZob57CmtYrUZS4dWdStpFBCrhyyDnsD2HIVlWzbOn/Ayd7jtPc3OypL89phK/869eZlJxsK1rw78mRovBONZwAqgXk8+w/fjlApA1FidGemMoXP/dlz/15jmw7m6czK3EBjfEWsQ59nGxy4oaDfHOzR87FcKjE11KNZAc5MLKTM0MnPfXnKbJ9ce+LjIyO0BgXD6+r8zu8xjfVuCzKT8b7448KlXJHfayRbDrL9q3evvLcU2T7ymtezd7NB+isn4XTuyzJCFcC4b5hynlSvVQ2SFM5PXqcOaum8egG91eUuZatqqq0JiewsnXt2L0QKnvPWnkgSSS1SeW/608lq2bZ0reB88NnXd+cxnUa4cff+ymNsRbNTWfc3azXL+SJM4mktgjimHYjWoCYEqMlPoGHfuV+CZhr2d79P/cw0eNXlPv9RMroViKpfoIKnLy2OTHZwY9+cL/r+q7TCJMbpzKvfjn1sQZtc84HIHO3EolkjOh9aWqxTio7yqHsTk72HnPVv6vIdnh4mOHUsE607vDryZWilUiqm+iJtpRkrI7BwUH6+vpc1Xcl20ceerTsnrVekLlWiWR8E3XR5mlLtPPgrx50VddVGuHihWsZOpmmva7TqEl3A/EpMpURrkRSPYQRaLnvo7xeT+o08clZthzY7Lg1V5Hti4f30JZsd1PVFL+edLkqQSKJPmEdp3730ZaYxIGj+1zVdSzbM2fOoKCQCOB7xvxeuCylK5FEB1XzL6z+/CamxImToKury3ldpxV+9tOf05awimqjdd9aKVyJpLJUIvDx3p95/YnJDn75i185btFxznbF3DXEzjXSlphk17TjwZTWlleYSSTVTiWCnSBFC9CfPk+2c4itLz7nqFXHke3hYwdpiU9wWs0x8goziaS6qU7R2tMcb+PgkQM4XVvgSLb79u0jqdQTU3z7nkhLgrqKREpXIgmOSh1jYfWpKAr1NLJ9u7O7gDmy5kMPPcTExGRHHXglyEv3pHQlEn8I++SXUf9hMjHRwYMPOltv6yhne/lFV5Lan6BJ8EbhXvO25a0Fm3eVeV2JxBmVDlj871+sveHMIMOdZ9m+d6twy8KRbSaTYef2nTTGnHwPT3WtLJDRrkRiT6WjWO04/G5RlIZ4E11HuxgdHRWuIyzbP/7xjzQqzb58f7oXwloIXemJJJFEjSgdF1EYRyOtbNiwQbi8sGzXr1/vMl+rEkSEG6Z0o/DCSiSVIGrHQHBjcd7mhHg769evFy4vfBnYYw8/TkvCy5IvFb9zuPknPYxca5h9SSSVJCpi1RLsmNy13ZKYyFO/+71weeETZJNbO1mcuAjF07Kv4ERVCQlK8UqqnSiKVU8URQu5rwZ7UX2eUz0nhMoLmTOdTjMyPOpRtOB3OqG05cqs64vSRyyJRIRqmrdRFS3k1tuODI0yNDQkVF7IngcOHKBeafQ0sCLBCreS6/yqYfJKxifVJFgI43jyp+0GpYm9e/cKlRWS7c6dO2mMO1nyVVmiIN1qmdSS2qUa52K1jbdBaWbnzp1CZYVOkO3YscNn2eafzGBznpU+qaWdNDK/KwmKapKTGeE9Bn/7aYw3s2PHDqGyQrJ98je/pzEmetWYE/xfoWDcS+WlF4UxSGoHKVh3PfpNY7yZP/xObK2tUBphx/YdNMabPA0qKkRhklbjxztJ5amleVMLjwGgIdbEnt17hMraylZVVc6dOUdcSXoemEkPBHnSzLjH6LzQtXQASfxBNflXK1Qmog2mz5gS5/y5PjKZjH1ZuwInT54klvX/K3DKCV+4UZvEtX6QSUoZT6935R5f8P0l1ToOHz5sW85Wtjt37qRBCWslgly2ZUStH4i1jJlQx8trWdnHGk6/9UqT0IoEIdmGu+yrcpOwGg6EahjjeGO8C1VPNB5/eH03xlr8ke1DP3skoJUIVoSfxy0fQaUniz3yAA8WK4nK57ucaDwf4bujMd7Mo798zLac7b0RZnXMZUZmEclY/diWsJ/M6CyTqoUlW1FY+uYEJ+Ot/IE+/ojWc14ZN2XUNIfYwfFzRy1L20a253t7SCh1/ozNFdF5MWshmqm26Ew0uozyY6g1ovmcV24scSVBf3+fbTlL2fb19REjXvEbhkchraAnmhPOPVJiEiuiOx+i4YaEUkd3d7dlGUvZ7t69m4ayr8GppHgr/6QaEc1J6B8yshy/RPu1reS4Sj3YGGtm165dljUsF9AePXqU+lgjCkqEnvBwLvF1g/Y5qoX8rlOiM0ckXqiO1zE6Y1RQqI81cuTIEctylrLt7e0loRgVUajsg9X2HU2pjXfxSqoLKVgnlB/PcSVBX5913tZStn19fcQNZZvvMAoPPpw7iHlBilcSRapDsBANz+QxPn49y7a3t9dCtlEj+tIF6wkuRSzxm+oRqhHVM/Y4cXp7ey3LeIhsITrRrZbqkK4RMgKW+EF1Cxai55Q85sdkXEn6F9lG6ySZCNE9kSaCFK/ECdV1bFpRXY8jf2zGFY+R7c7ndxNX4iUNl7+oUYxu81RvlKtFph4kUEtCNSLqj638ONMee3ElwZ5tL1q2YLnO9uihLhKI3Mc26ge8qvmpLeQ619qmtl/fajku7f2WUJIcO3LcuozVzsGhQSbpcrbVl07QUxvRrhEyAq5Oqvt4ckP1P1798RRXEgwOD1rWsZTt8Ogw8bjoaoQopxOMiP5aXT+RIq4s40+oeqr18YsdGzFiDA0OWZaxNGkmnSaWiI2DiVK70a4IUsT+UPvHiRvGx3OiKApq1vqxWsrW+uaLhl3mazqtGBGqewVDEIgKpJalLCXqlmp+3pzP51jcuo6lbLNZFYUYkC1bimQ9AastpaBlfKUX/MKLkMIQtRRmWNTC82w9H/XzVUFBIUY2q6KqquldEk1lq6q5ilYd1v4EluINg9qfR7XO+Hn9rAKDGDFGRkZoaGgw2W/CwMAAMUrX2DodVm0JqlqWqUgkYVFrx4NzZ2m92NjQZHkVmalse3t7iWtka9aRvYRrSbh5pHgl45Vanfv2qQM71ynZmOVVZKayzd0XITnWUazQodlAxi+1OvkkEiid3+Nzjtt5L+/H7CiWka1pznZwcNA2shWn2lcpiCJzvJJaoNaPUy3+HacxJc7goPmFDaaybW5uJl6noBBHJWPbkdgJs2pepeAUs8cpJSyJCuPlWDTD/lgU/dSuECdLhuZm/deIFTFNI7S2tqLGsprGrFMJ4ox32Yzvj2SSSiPnXw5vHtKnEAAypGltbTWtYynboeGhsQbF0gliJ8xyJaV0QebDJMEj51gpYu4Rd1mRLBl3sm1ubiarSx9oo1urgYgPUgq3FHlQSPxAziNjRFMC1m7TR7X5YDRDmra2NtO6pjlbRVFQlFjuml+Tixv8ubBhPOVxnWB3hZ5kfCOPGWd4P2YsJawoZDIZ6uvrTctY3s9WiRUbz9tbsa5SMjBnEa4UiDgychmfyNfdOeJuceIsfVQLmF6mm8f63giZrOF2hRgq2cIA7e4aJR79yijXOTICri3k/PcP8flve8EC2sDTOOD0JNv6hnpQFRQld68E0WVgRgOVwq0EIkvxJOEi53Y4+Cda83pjn/YVBUWNMaHD/OQY2KQRGhsayahp4w40VUUG6+wBybRCOOjPVMuPqf4gn9fK4cwdTt1llD4AyJI1vQFNHkvZXvyS1aTVVK5xmxDZf+HmakgqhRSGNfL5iR7ubyLjtkzeixk1hZqyLmsp27a2tpLINt+wNroNNsLN1ZBEDSvR2P1EiVp5HJKgRat1nTZ9kCetpmluMr96DGxytq2trWTUDLGxS9HMByV+wkz7IJzlcfPIiV7dyNdP4hfOAzHx1Qb2J8TyxIiTVbPMmjfTppwFOdmmCw1CeXRrN1Ar3CWmZT5XIhnfuHOAH17SR7V5L6bVFBMmmF/QkCtrQVtbGxnSpvtL1pi5SCk4KWdUU0pXIhlPuD/m3fqo1GnmAWZGTbNw2XzLtm0j27SaKnSij26NB1sqXNHciJtrkfO1JRJJreMuknXqoNJt1utpCz4kTlpNWd4XIVfegra2NrKqca5WJJ1QKBv4mjcZ5UoktUmwKQOzsnrRGp0U05IlY3lfBBCMbGNKvCy6NRqI2UBz24JfZFx8YaR4JZLqxdtxHJRotWijWsB7ZDt79mxGskPmHWksLypcJ7kTb/fOleKVSKoH78erU2c4Fa0+faBlJDvE7NmzLfuzlO2SJUsYzBa/U8cuZSAi3Nx2Z0+IPzcsl9KVSKKH92PTjSPcRrRG+2NKnMFsH8uWLbMsbynblpYW1Fim5BaLRifLnEa4ue3+L0IWaUUikUSFYG976KSOXURrdFJMS0YZpaOjw7Jf2/slLlg8nwwZYoqN5V0KV0a5Esl4I/xo1mplgkjqwIyYEierqsyeb31BAwjIduXKFQykzxca1g7GKHdhNODc3zFL6TrB21KxYitSvBJJWPiXk/XrU7GRk6xSB/qoNu/Dgcx5li9fbjsOW9leec1ahrLmX88bMwm3tYPS4pdwvdbTtyLFK5H4jX/Hld9+MD6Bb+4yq8ByMNvL2pdeZjsWW9kuW7aMQbWHuJLMVVDKcxb6geiFG1RaQVvPPxSkfCUSNwRz7Lh1gqho9Y7Spw5KAkpdVBtXktCSsj05lmvHhqVLl9KXOmcyaHPhWpXN/e1fWiFfx5+cbnnLUrwSiRnBHB9ejme/0gZgLFo9p86eZOnSpbbjspVtZ2cnowwTU5Jl0a0VRonlMNIK+bpSvBJJUERPsNo2jLdbpw0K22xOiEFpVBtTkqRiQ8yZM8e2nuUtFvOd1ycbcleS6TrMqhm0X5WTfxfI347R6Jt58w9Q+/U62ls0lpYtPnC33+LrRxtmLReRtw2U1DrBBBh+BER2bYhGs1Y5Wn36IE9WzZBIJojF7L8IV+ircq+4+jKGMgMl0a3RQIwGqk80m9XJh/h+53ON2gg24pVRr6QWCHZO+3k8G+8z9olZNCsiWi35qHYg08tFl64RGq+YbK9ZS1/6bElHUGp526stBNMKue3BStfPdsxal+KVVB/Bz9uwJGu8z3naoOS8lPak2Bgj8X6hlQggKNtVq1YwpPbbltOfMLNapaCt41a6fhCccIs9SPFKokt48zPolIGVZEVEq3eWyB0N+4Z7WblyhW25XPsCLF26lEG1J1dhzOra6NYqwjUSrhvpGm/3Jy0QXHqhvCcpX0llCW8OKrp/frRlvt9ZNGu1vEtfT+u4ovdy//dnzgmtRMj1IcD8+fMZSPca5mu1AzIaaK4T8fDdTZSb2+9veiF48eZ6M/+RSNxSuXnl5/Fj15b9eR4x79iJ1oy4kmQwe57FixebltFiuxoBIB6PU1efIKtmC8LNqqnC75mxrzvXD1i74kC/UgGMVyvk60LpioXivtjYvvLVC7n9yth+7ysEglvJINZ7KXLFg8SMyr45+x2YOF1dULrP4hYCNtGsVX1toJlfKKCqKvE6hfr6esvxFvsTZM2lqximeG/bmKZzs/W3VjfdLZQxSSuY1S/usx56EBMgvIjXeAQy6pUUqex8COp4CEK0ImkDo/pGJ8S03kspKVZfYn9PhGKfgtxw83WcT58hHq8vy1sYDTCPiHDBeVoht08stVDb4pUpiNokeq9xJY8n+2Pdfu1sHieiLd1WPF8Vj9fTkz7DS665ynRM5f0Ksm7dOrpHDlkOwGygZsIVWa2Qry+yaqHS4q2cfPVE6yCVmBHt1ynIue1EsHarDERFa+ScfDsl5TT+sgosu0cPcuONN5qOX49QzhbgwgsvZDB+tpBjjSvJslytdlv+CrM8ZnnYGPGyPG4ep/nc3P7iC2OX182V8TcXWtk8rwh2B00Ux1ytREOaTggyYBBp2y49mCsjnpfNI5qftbsVgTao7Fe6Wbt2rWX50jGIFozFWLJ4KX3pM2UdG+Vvc9sFH6CDXIu2HfuvrbCOdnNlgotKoxn12hG9j6/Rpfqfq6DnqGjbYseqdRTrp2jjJfeCKf/0PpA+z7z5c0kmzVdolY/DAe9415s4m+kmHrc++6YXrtu0QqG8y5NoxTJiDzNoMeondvWJGOwFU33CKVKbjy3seee0fS/RrJ1kRdMGRqkDM+Lxes5mu3nrn99qN2zdeBxw0003cXJ4P/F4Y0G4WvubRbi5/eXCdSNdw+02uZtcGfu8bmn5cEVYneIVwanAKvlTO0R9/oqdZ3GWk81jJVm7E2H6lQf6qDYeryceb+TU8AFH+VpwkLMFmDdvHsPZ/pJcrJ6YkiQ7lrfV53X1eVwovsvY5XIL5ceeYKN8rrY9ozaLZezzuqXlS1/UoHOxYfcnqX7CfpN205/XfGyhjMX9DJysnbUTrRmqmqU/fVrohuFaHMkWYPmiVfSc6aY9MQ2ATGbE8uIGI+EChtI1Ei5gKV0IV7y5OuGeBLOa2FLE44dKf+oJSrC5cs5vZKXF9NOw4Ekws9SBdns+qu3NnmXF8tVC974tHaND3v3Rd3Bq9HDJAPQDs0sp5Mo4eAca+1jgJqdr13ZpGWephlydyn78r97cr8SOKLy2bvp3chzZpv8EcrJ+itYodQClnjs1eph3vvfNpmM2w7Fsb3ntKzk1tI94ooF4vLFsICWN64Rrl8cF+zyN5Tf6+iDcYllv4o3CwVHdJ+Jqnyi+Vm7H4O54cR/NWgnW9HyQQdpAJHVQOD8VbySRbOTk4F5edcsrLMduhOM0wqRJkwCV0cxQ7iHFG8lkhojH6w1TCtocLoinFcA4tQDm+VywTy+IpBbK6zhPNeTqhZtuEMHuAIrKOGuBanlzcztOJ2It1vGWkwVnKQMQSxuYfRLXihYgnR0lrY4wbdo0yzEajsNxDeDql17DufgZ4okG0zJmobl+X7FM+RIxcJ9aAPv0gvZdUDTq1b6DV1vUK4JdtFUNjyFIauH58SN6dZKLFVotNHas+pkyAGdpA/0+PYlkI+eS57lirfgluiVjcVPpbX/+Ro73784NTpdOsFqDa5dWyJVxl1oQyemKpBmciDdXx7l4c/Wif1Da4UQ8UX2ctfAYRHD7GNymB4QuOvJBsJZecJk2gFKX5dMHACd6d/KW299g/qAsUFSzU/kWjIyMMH3iIm6e+yEyI4Nk0sMAZDLFu4JlMiPF33WrFLK6v41WMeTKmX/Mt0oBmKUYytoQfOii6YbyeuIph9J68qO8xBte3hiCSg+AfYogj+UnVot9ZpfbGgd21qmD3O85ySaSjcTrm3nk8Dc5dGobzc3N5oM3wXHOFqC+vp6JEzoYig/RWN8EQCY9XMjf6inP0xbviWu0v1jOOp8LxiK0yumWtGGzZlffl1l/5vW853r1SBFL8vgVabuRa66eg0+ADpZJOU0VgP1NvkvLJi33F7brRDuSzNDU3ORKtOAyjQBw+cUv4WTqoOkA9SkFkXcWq9SC2ZPpJadbaMPBRHCT583Vc5frLW+nNj7WSpzj52vvPv3lYu4LHF9ecrJmeVmjtIGVaPWpAz0n+3Zz2UXu8rXgQbYf//y7OX5uG/HGJuL1TaYny5wI16pcrqzL3I2Dk2kiuV0nfZvX8y7eXDu1mWMcjwT5Wro/seviJLLgseR3TjaPG8+YnWvKR7WxpmZODO/l7z7zl4blRHCVRgBYtWoVfUMnSWWGiAFxXToBijnc/LIwME4Z6NMKZuVyZc1TC2D/kV/7wlqlGkSuUHPat3k988nvNu9bbFumJKJEkG+AXt+4i+04CxzAn1ysaP9eUgZG5YxytFAULeSWfJ3tO8Cll15qOTYrXL86iqKw7vo/4fDQduKNTcXBaiJc7cD1Ea7Iu49IasHqibd7NxZNNXiNeN1M3mI7/qQfjNuWUbHfhPmc+peacpkaEzwuhD5ZCkSxVse78UVTxtGsqGi1HB3Zwete/zricQ/HspvVCHkOHDjC2gvXcdOCD5EZGgQgMzL2/9gKBShGuNoVClrsVitYlS2tZx1NOok2RU6wuX3q3K5uMG7LW+Trre/xFxlX8k3IzzdbtwGAaP7Vr3E4iWJL64meBDNeeQAUotpYUzOP7f8Gv3vm51xwwULL8VrhOo0AMH/+bNomTKA3dp62xgkF4UIuws0LV3uVGZRL1261gr4sGEvX6K5iWsyuSDNCJN2gn3hu0g1G+JWCyLUVnIz9Fk8Q8q6mCD0KMi1rx8f0QFnbLkXrRLJm5fU5Wr1otQzUDRBLxj2JFjykEfJ89vN/y77zG4i1NOdOltVpUgcCJ80K20zSCiI5l9I61h833HxcCjLd4NcYzduKmf5EDacXGIj8ixpBvh5+zRs/0wNOxyiSLjCuZ+wKt6LVRrX7ejbw2X/9qGG/TvCURgBIpVJ0diziT1Z9AgZHyAwOAJAZ1VzgYJBSyP0ullYA96mFYn3/UgyFNh3U8fg0F9vxMQVh31flUhTVSphvYmFHrxBMBAvOvvurvK74iiaRHK1WtFk1y4P7Ps+xE7tobCyPep3gKY0AkEwmedUtr6Cr+yCzYosAyAwOEK9rLAjXKKWQ+908rQA4Ti3o62hxsooBxKSmn3iiqxv0OBGxnykI+76ciaMW5VzJTwB+yRScCVVLUHIFb4LN1Xcn2dzf9qIF6G4+wbobr/MsWvAhsgXYsWMHN9/8Tq6f934Asv0DjiJcLXrxWp8Qs45o7SJeu2g3T9BRb1l/VRgFh4GRzKOYDvFCJaJVPdUmWLO6ZmtnRUUbm9DM7/Z8m/sf+LqnJV+Fvjy3ACxfvpxEYoShplEaB+tK9llFuFAuXe2aXLA7IWYe7drVzdW3jnbzuFk/6yTqLevPxRpfw3ZCjILDoBbE6me0WtZ2iNErOHssXiWba0P8/I3heSHdVWFGoi30NaGZkeYsSvI8l1xyie3YRPBt9v7937+PA+f+gDKpOXeyrCn3A1ieNMt9eWSjbpvxCTTR9blGda2wW6+rxe1JCDcnE6D8ahy3V7oZtq1bX2n3IyknzOfQz7ngej46fCwix5Yb0Vr5wChlICLaWFPuSrHYhGaUjmYOnd/Ahz70l56Pszy+pBEAent7ueCCS7j58n+BnkGy/QOFffmUApinFcA4teDkJBrYpxas6pa24zzqcxspekk5lI3BpxSEH1Rb5AzBRp5O8esgh3Ci10JfAoGL35EseItm86kDoCDbR37/cbZueZLJkyfbjlUEX9IIAG1tbdxww1q6+w7SOWk+MSgRbh59WgEwPHlWKC+4NjeP9gWySy+AfYoh147oNzq4u1zXS8qhbAw+nYjzgyiJK6r4KVQtbuUK0RSsVRtOc7NQnjYo9D8m2rOxLtZevtw30YKPaQSA97znXRzYux6gkE4ASlIKRugv8TW6447T1AIU197ZJdWt2si1Y39psB4vHx+1H/H0P14IMiUhMSbI59yveeJ2roocF2LHl/Vx6iRlkNvWaCnakr7HUgdQFC3AgV2P8J73/JVpPTf4FtkCXH311WTULlKTIHkuty3W0lyIcONNzYVlYVCaUtCePAPjE2hmUS7YR6tBRLy5toKNesv69zEK1mN38EcpRREVwnyT8vpmq8Xtp45KRrAl+wVSBmAd0epTB3myHXGGBvdy4403Wo7BKb7KVlEUbr/tLTz89EbmT70eAPXcQIlwtWhTClCeVgDr1AKYi9cqL2u3iiHfRqEPy7a8pRvAX/lq8VPE4F0sUZR11CJ6P4WqJUi5gphgc+3Zl3OSky3uM8/NFspYpA4AlI5mYtOa6Op+kje/6Q2ebjpj2I+vrQG33XYbR3Y/Vt5RPqXQ2FR6l7A6gydFYMVCcZ9JvsaHd1dtW3YfhXLtOU83gPUZbS9YfcwM6qC2wu4jdSV+wibI18SveSQ6j0WPi2K7/ovWbqVBoZwuotWmDvQc3f4Yt99+u+1YneJrZAswc+ZMLlo5n0znIeLMLWwvRLh9/UBOuvkb14ikFaD03UufXnCTWgCx9IJZm9btuks36PEzCtZjd3D7HRmPB8J8E/PrBKTf0Wtp2+4FW9hvcfWXHrsTYUapg3yeNjatifiUoyyYPYmFC73ddMYI35Z+admyZQuve/NfcfVVn4SsitqdE6N6LpdKyAsXKLlTGJQKt7BNJ93CdsGr0Mr2Cy39si/jpl3jvvy85WJ4ghyPMq5GmYK4UPVERbDF7caiFUkb2IkW4Omn/pm7/vNLXH755Zbjc4PvkS3A6tWrWb1kFqdTu5kcX1y2P9baUhLhAiVRrl64RrlcMM7n5rbb53QL+32KePXtWrVd3pc/UTD4dyJOBK/iqYSsK5E+cULY0aoRURNscb/9CbBCWZMTYWCcOgDoVfczf0ZbIKKFgCJbyN0v4VVvvI0b/vTzpI7mJGkV4UJ5lAvlka5ZlAvmkW5xv/eIF6o36tVTjRcdVDtBrj2OWvQq0rYbweYRWTtrJlp9RNswq47Hf/h/+OEd/85FF11kOSa3BCZbgFte+0YybWuZOf+iUuGqKmpPUaxWaQVwlloAe+nmylROvE7at+9fyjhKRFGmRlRSsOCvZMFetNpoVi9agHPpPQwefJhHHvyl5bi8EEgaIc+XvvA5Xv3GN7Pq2ss5q0Kqy1iQVmkFsE4tgHF6Aayla7VmF5ycCHOebtC370W8fqYg9DgVRy3KuZJXwVVarrkxeE8PlJR1KVmrCxOscrNgnjaAXEQLcOD+73PPd/7LcmxeCVS2S5YsYeHCBRzcvon5Ky/nDKDXSj7C1QoXSlcrgPGKhcI+hznd0jLGKxnKyjnM80LwuV7jMVisuw0wCgZ5ea4b/BSqliDl6rZ9P3Oy4CxtAMapA4DRwR10TpnC6tWrLcfnlUBlC/DNL32BN7zxTcxbcVnJdqWzCfXUIMrEphLhAobLw/Jo1+WKnEgzWy5WUs/mhFpZeeELHrxHvXqCEjEEL+PxSFAyBfdC1ROUYO3kmivjLJI1uzABzNMGYJw6AJg+J8mPv3QX991zp+1YvRK4bBcuXMiiRReQOvks7XMv5ezY9lTXsKFwoVS62gsgjMRrFuka5XSjIl49XkTsV+4XpIzdEKRM9XiRq6hQvfbpRbB5nIhWJGWQF62Whll1TJ+TRDm9jfmzZ7F8+XLLMflBoCfI8rz44ov86Z++kZv++msoisLZQylQIXVsGFRQu4sS1UoXylcsgNja3JL9FifTwJ8TaoZ1XK9A8E+gfsrYK1GUdZiytMOvSBXCkysEK9hCfZu8LBhEs+3N5L/zUxvR5kWrqiq//OpHufvuu1i2bJll/34QeGQLsGjRIhYvXcbo8Weon7G2bL8ypakgXGVi7kkxy+WC8drcPFY5XTAWbxARL7g/CeY292s3Bj1hizhKYqsUfgpVi1u5QvUINo+daJV2nZh1os2jntzCzNlzQhEthBTZAhw8eJDXvvrVfOjL/8WuQ6MAuQiX4ioFbYQL5VEuiK3NLeyziHjtol0ILuIFP5d+BSfMKEXF1UJQMgVvQtXidox+CBacn/TSYpWXBQPRTi89GTZ9Tu6xr57TyOc++G5+cO8PWLy4/MKrIAglsgWYN28eq1atZnDrH1i+5qXsODBM+9wkZw+lSM5syOVwp4xFtZooVy9co1ULYCxdkRUMYC5epxFvrlywUa8eP6NgPU4PylqUc5DytMMvuUJw0WuunDfBgviJr8I2G9HmJQvlol0zt4nubc+zYOGi0EQLIUa2AMePH+fmG2/kez/8Kc+d7GHHgeGy6DaPXZRrlMvNE2S0WyhbBVGvEUFGwn7j5nmopBzd4KdQtQQZvebKiX21t9so1kiwhX1GuVnt/umlKw60sl0zt4kVHZN4462v4YGf/4K5c+cSFqFFtgDTp0/n8ksu5Te/foB1t7yBrHqGXWP7tKsUoDSPC8a5XDCWrpdoV1S4YUW9eryK2K9VEWFQbeI0IiiZgj/Pj99y1eJ1+VbZPhvJgn1Eu3JyO4/+6qesWLY8VNFCyJEtwKlTp3jZdddx9w/u54XT/ew6OJavVeHc4RT50aSPFaWnj3JBLJ+bxyzStVvFAM6iXRCLeI3rRS8K1hM1GUeBIGWqJ+hotbyeM8HapQrA2UkvEMvLgrFkoShayMl2yYRWbr31tfz64YeZNWuW7Xj9JHTZAnzta19jx8Yn+OAnvsSmrlxMu/NATmr5tAKUChfETqCB2HKxsv0BiBfcydeteA3bqqAgq1HOYcpTj5+RvBvB+hm9lrTr4KRXYVtbExjc3F00ZQClES3AysntfO1zH2X60kv4+Mc/bjtuv6mIbDOZDJdfuJJ/eM/bWXr9rTx77CyqqrLrYE4yToQLzqQL1SXeXD3/5FvWdhUKsVoJMi0SVvQKwQkWxiSbRyNbu2gW7EW7b/tmPvaPf8/mrTtJJsN/U62IbAG2b9/OW9/4Ou6/9ycMJRvZ1HUGwFC4YJ9WKOxzcCINqk+85e1IEUeJKAq1vJ1oCbawv61UnkpHi3nZqY0Qy8lYK1nQLu9qQlFyos32n+bNt72Nr3/jW7zk+nWW4wiKiskW4MPvvo3UmWN87NPfoE9JOhJuHj8i3Tx+iBdqV762fdegnCt5ki7qcgX/BZvHSLSxqboxxRRL0QKsmtKOMnSO//yPL3N+KMX/u/s+y/EESUVlOzw4yKWrlvKvH/8wq654Bb1KnGe7zhZOkuWle+6weVohj2g+N09Y4i2p40LC4J+Ic21VTsZOqfWlX37JNNeWc6GCuFRL+vIoWDCXLJSLtkyyYzTMri9cjquXLBRFu3vzY3z0X/6dTc9tobm11XZsQVFR2QI8+rMf849//3d856v/jDI3d2ewTUfPFvbnhQul0gXvkS7YSxfsxQvVK9/ytqtHxlHHT5mWtx0duQLEGjXtKsZf2u1EsGAs2YbZpc/ptDnJQmpXL1qA/j1P8J5/+Byf/td/46ZbXm/afxhUXLYA73rL65kUG+G9//hlAHqVuLBwQewkWmFfjYm3rB0p4lCJolDL2tFcLSn69e2OBatFI1ungi3U04lWL1mwFq0ydA6AO7/2KY6lG/mfe35o2ldYREK2g4ODXLz8Ar70/j9j5Sv/ChSFXnIvmJF0jYQLGumOPSL1tDvpQmXFC9UhX6dEUdZBytIpQchVj5VsY5obOilm0amZYLVlJphLFLxLFnKiheJqAyhGs3nR7n70e3zoGz9g8/Y9tFYwfZAn1CvIzGhqauJrX/8mn/u//8BX2ycw5co3FfZdOnMSz3blnrzFc3NP/B5NXa14E9Nz+9PHcge1Mrn4QujFm78iDYzFm79CDczFa3Wv3UKZutLJIypfqwPGiYjtDuAwZRwlsVUCv2QK1vNDlFid2Hh8EWx+6ZaB7EXSBVAULJRKFoqizdN/dAtfvPdB/u1LX46EaCEikW2et776ZhY2ZLj1L/+KllkXAnBezb04z3adI6sZ6Z5DpVHSucMp0DyUvHD1WEW74E/EC2JRb1mdCkfBhm1HKDKOOn7KtKxtl3KN15t/jLesJ3KSS1SwJRuLsrU88aVBK1kwF20+ou3v2sqvf/FLnt5zjAcee8pyjGESKdmeP3+ey5Yv5iu3vZJ517+SlpmrCx97erK5Ms8cPVcorxWuqkLP4dGyNs2kC97SDHn8SjeU1XEp3rJ2AhRxWV81KOYgBVrWlw/RKrgTrB9yzWMo2XwbU8fGZpDNqJ9VXxb4WolWL1nIifbU3u289wt38PTWXXR0dAiNOQwiJVuAnz/wU77+ib/nC3/zDhpmL6V11prCvp4sheg2n1qAnHTzj8JIuHmcRruiws0TlHihOuUrsaaScgV/BZvHTLQFyRYK5v6rn1UaxWplqxXtqjlN+WsYSlIGetGOHNvPJ799H7d97J9405vf6mjsQRM52QK87uYbWNtZx7rrr6Jh9lKAgnTPar5ZJS/c/APYc7BUpmbiNZKu1/SCniDTDWVt+CRiw7alnIXxS56GbbsUakkbAnIF/wRbaE8vWqDe7MTX3Jxg885dpVllEFPKc7Pa1MHIsf08+fvNPHakn18++rjwyouwiKRsu7u7uWr1cr71rtfQMX8eDTOXoMRitMxYBZQLV/sA9MIF59FuNYsXgpVvWV/jSMZByrSsLx/kCg4E2zpWLiYmKD8FC0XJFtqnVLQAq6e0FyJfrWQBRo7tp+doF+//75/z22efZ/r06XYPIXQiKVuA+++/n69//CN8/p23UD9jOo2zc98TlBNu7hk/mykOfZM2rWAg3DxOol3wX7wgLl8tjkRs846eGfFH6kHgt7zDFKRTwhaqloJcy3aYzx03ggX7KNYI7brZ1ZpoNjZcmjaAnGhHT53iE997kHf+42d4+9vfbjnOShFZ2QL87Uc+QvfGx3j3LVeTnDZNI9zVhTJa4UKpdMFcvE5PpkGFxasTaGZwQLisE6Is4mrDL5mWtetCrmAh2JJCpXPHrWDzGInWTLKrDSLZkr5MRJvq7uauh54mueJyvvUf37YcTyWJtGwzmQyvWPcyrpkQ44YrVpCcNg2gTLpa4apjSYVnu3pK2nIa7XoVb1l5r6sbHAjUr3SEUF/jSM5BydOwL5dC1SIkVywuMjCZcrHOsRUaJnOycNJLs3vq2MkuoyqrZjeW5Ff1koWiaLWSBUh1d/Pk5l08eGKYR3/zREVunShKpGULcO7cOV56yUV87NrVLF0yp0y4UBrpnslkC7/rhZvHSbQLlROvnmy/RTTrgDBlXNZ3hOQcpjzL+vZBpiAuVD1WV3EVC2n66TRYAqcRpH5VQb7+VN3SrXyVVbMbddtzO0pTBj2F3/u7thR+14p2/75j/Mtjf+R3mzYzefJky4dTaSIvW4CdO3fyunXX8cU3vIzJMzrKhasotExfNfZ77r8zaXPpZsce8ouHyuVqdTIN/BcvuEw/+CRePZUUca3hl1D1uBGskFz1/ZhcdJCnfrZ1PnyqQbpg9RzjNld3dhTcrpUsmIu258RZPvqT3/DDXz3MmjVriDpVIVuAn//853zmfe/iC2++iaaONgCS02cA0Di2PKxl+qqyjz5a6UJOvFmDh1zN4jVCyjh4tJdrl+Ehb+42Wi0bQgCCrdNEsEZLq4wEu3JMsEZ3W1jdWbzoIK6TLJSLNtXdnfv9bB8fv/9xPvyFr3DrrbdajjkqVI1sAT7x93/Ltl/8jA/dchV1k1ogppCcmlvikRcuUFgilkcvXCi9Ek2LkXTBu3j1iIrYD/kGJV4RqknOlvJ0ikPZ+iFYUbmWpAQEhllnlCKgKNtOk3zsSk0UqxWtVrB59KI1i2YBUuf6+fZDzzD3xlfwhS9/xf4BRISqkq2qqrx87WWsqotxy0uWU9eRu8FEXrhgLl29cLWPWr+CwUi42vLnj1RGvGX1Ih4Fj2t05om16GTqMvBVJmnaEVwTCyY5V4txmAlWy9S5pd+SoH3IK3XpgjWdY5fWGnSoFW3/sW2g5o7VvGShVLSPbNzDhsFR1m/cRCxmfHeyKFJVsgXo7+9n7dLFvG/tSlYummEoXLCPdI0etV66UBSv2bPkt3ihsukHO6SYi2jvDOcYB7ItEWzJACxul2gmV4txuBGsllVzy/vMS7bYXa7D+EhvbsOYWPuPbSsWUrOmot198CRfe3obG7ZuZ8KECbbjjRJVJ1uA/fv3s+7SS/jsDS9l6uRmkm0N1lGu5t6cLdNXkJ9hp1OaS9F0GIl370FrsdqJV4+IiN1GvWXthCRjPdUkZ0/ydIpGcqYytUMnWxHBmgrVxNudmtUEZpe/rpzTULJPL1gtiZG+wu/aVIGWka4XgVLJpvpGOH1mkP+z/kl+veFplixZYtpHVKlK2QI89Otf87e33cY/33QNTRPqSLbmJpFWuvkJ0KBZJgbQMn1lWXtm4nUjXQhGvHqqXcSeidi171bYXRwgSslFBIIPXyRi1bbVOcd4rapWqCvnNJTtW93ZbjgkrWDz6EWbFyyUShYg1TfCcF+Kf3r0KT717W/z2tdX9utt3FK1sgX4zEc+zO8feIAPveQS6lqTZcIFqJs2o/C7VrpGwgVj6RoJN09UxAv+ybes3ajKOEKyVSbp72rlz9gsr9Cy6KJuZvmFBVZ0Wlw6m8coTZBnzdSOsu6MJAv6k1/7Cjm6vGShVLSpgQzf3vAcK29+Of/yrW/ZjjOqVLVsVVXl9dddx7S+Xl69chHJloStcEEs0oVgxKtFVMLC8rU4sKy+l81PQhVzwLItE6ijyg5OXtlc8mreR/HXglwtygBMMYharYa6Ir9sy6BMXrBa6kZzktRrpSySPbav+IeqWor2wZ372a3CQ5uejdydvJxQ1bIFGB4e5rJFi3j9rLlcsXgGyZbcN/3opasXbh6RaBfKxWsl3TxByVdLiYg9zEPfZBzlgyHMoemeB8Ukn+pEHkLpAB1TBCJW/RBWGFx4oJWtXrJ5webRKmXg2DZUtbgSqESyY6ROncr9r5EsQGogw/OHT/GDg4d4evt2mpuDuUgkLKpetgCnTp3i6pUr+bOFi7lk1lSSjTFH0tVHulAuXu2Sle5UunAPBjC/LFiL9lk2W8urxZV4jwfzhYqORDxOZau4jE7tZJucobmIQHCV0+SSk1rGZVbMMb76y2w8F05tL9mvF6yW/P0L8qhq1rFkU0NZdpw+zXe27uCJF55n5syZpv1VCzUhW8gJ9yVLl/KWJcsNhZufQ8mxq88A6jQrF/TCzX+7aPO05bm/DY7UUynjb/nNo5Ww2bMsIl49bkQMwclYi3o6wl+N41C2Sqe7fKkT6maK3wJSK9uO2fZC1e8zE6yWi6ZZf41MfXrQdDLrJZtnuGtv4fe8YKEoWTAW7f+8sJXfbt1aE6KFGpIt5IT70mXLePuK5ayZ2lki3Lq20o9gdtI1+irnlmkrzPu2ES/ApqM9lvvDFK+eMERsSJiBsIOLAGxx0FTdDAvJOWhnsklKwEq2y8cEa/bQL9TI1ayZ+rTuk41GGWaCBTHJQu1HtHlqSraQE+61F17IrXMXlEW4VsKFUukCNM4xl2vQ4gV38tXil4j1R3P6mI83+K5S2ZZ8vPeSOtFV7RBIAZQ1oSm33CR61T70C02iV213ZYLV0H/UeH0slAoWSiUL9qLdcqybe/bv5fFnn60p0UINyhZywr3hyqt4fec0Lpk1FaBEulAUr164hf1Tp5fM4sbZy037C0O8WtxK2LV8PcjEVswRkm1yuubN2MkVXh6enw6LE1iWEevcnFRFe754uv23zDak8ymgciX0d41d4aWW32dEL9j02MoCvVqs0gYAW451c++xozzy1JM1J1qoUdlCTrjXrLmQN8xYwMUzppBsiJFszKUGjKQLxuLVn1BzK10IRrzgXr7ag9nyRjshnvTytSsvbfko23YX0aq+bF6uZWUs6l80rfSklhFFwWrRpgm26XaVrizQrjRIa5ZvabWS6sldRZjqLb7xpgZyq3tSQ1lSw1m2nDjDvUf28pvNtRfR5qlZ2cJYDnf5St44d3GZcMGZdMFf8YKYfLX4LWK3Yus54mzcTqgW2bYLXMZq2KxF0WVzjZd2xSwq5YUK5kPWjs9YrqVY5WFHytIEJw3LjWqjWAPJQqlov79/J7/dUls5Wj01LVvICfeqpct40/xltsIFMelCdYoXSg92rzlhUZzIuVKybdcv9g8ojaAVqmg1vWy1gi0Zh0n9pmzxdVYN0gDgj2BBJ9m+kZKTaWaivefFbTy5rXZWHZhR87IF4wgXMEwr5LE7mVYoZ7Bu16t4tTiVMFiLWPQAD0rEXmXq6VyUk7oeZLtkTnHuWKWJrcZz8XRtxCo2mOas/Wumle3A2J22jBSgFyyIRbFQzMcaiTafnx1PEW2ecSFbGFuHu2wlr5+1mAunTqGunjLpgr14nUS7YCBe3ZKylqnlF1SUli890E6NOpegVr5+RY5+5InDru+XbJea5E+NcCJbrWBLh2LeiIhgtRjdaUurAE9RrI5Uf7r4u0ayoyOwvfsM9x7aye+2jg/RwjiSLeSE+7IrruJPWqcVhAvupAvOxZuncY75ZcF5ChK2MIQb8eoRufrNK/qPwXsPuV/T65dsF8+pN91n346D+x5oipZEq07608i2Oav9pGN2cYH50qw8w8fGpJotb0NUsOBMskBBtD89d5RHf1+bqw7MGFeyhXwOdyWvmXYBazo7SdZhLN38FWfN5dKFkMU7zTwtYUaURGx1gscpTlpysqzWL9leMmNSsZzFaK36a8mmzXeWoFk1cMx8aVaegmDzaETrVbBgL9nUKGw/fZofd+3iyW3jJ6LNM+5kC2MXPqy6mAsbJvPyefNQFMVYuk2aSNeLdDVHlv7CCT0i8tVSKRHrsRJztctWK9BcWbGGrWTbivmN600vhz1mfhKrWLco2zK56kidOGG53y/JQk60vzl6iGdGzvLI078fd6KFcSpbyN0t7E+vv4nzLx7m9mVrSMRiJcKFonTBo3hNDk5D8WpyulYn2oxwI149fohY9ISOEZuP9di0Lc6lMyfZFxrDmZjFCk9QioeWo8NMezmsiGA1DHftti1jJVkvgoWiZKEo2qHhLPfs3kbTkjn8+KFf0dTk4xdrVhHjVraQOwA++aGP8sPv3s1fr7qMiXUNZcIF59IFA/FOtv6+pIJ4BW7t5FTCEK6Ivci2rC1PV8K6y63atqsZlFaoVlgdZgPHtxluV7MWKQEBqWoppAkMcrSiggUxyUJRtGcHRvjWtmd5/e1v43Nf/XJV34/WK+Natnke+uWv+as3vYV3LryQC9onkRz7TjtR6YJ4tKvHVsLTrD9uuRGvHmERu5wq3SnRHGQ5Ycm2PaEp6+hhihV2GqFCuWwLaQGTvKxV3hVg9IzxNycU6gtEsSAm2dQo7D93njte/CP/8YO7edVrXm3Z93hAynaM/fv3c/PlL+HaSTO4ZuYcAFPpgj/RblmbHsWrx3cRV2CqqM7MV1Y7+Gqaj/wmEWqumFijQ0cFIlaNbIMSLIhHsVAqWYANx7t47Pwxfvm7x1m8eLHlGMYLUrYa+vv7ec21N6B0neHW+StoqB87UeZCuhAt8erxQ8RabNcLuyQKsu0/7jwqLW+z2KiQUC1InTxuud8vwYJzyY6MqPz04E5GZrXzwGMP09ZmvkpnvCFlq0NVVf7uvR/glz/4MX+58FImNtYVZCsqXfBBvJokYrJdfMJ6lTD4L2I7rETtl2z7j2932YR53tSKYY1Q3R5idlLVEpRgQUyyqVHoHUpxx/7NrPuz1/Hlb3+LWEzwqyXGCVK2JjzwwAN84G1/zjvnXcS8sXdnEemCdbRbUs5AwNocZXKC9ZVKTiQMERaxS6E56sJtH1brVgUjVKtDzIlQAVJn+8baNNlvIVUoF2vJPpsoFowlC3Ckr4+7jmzhC//1LW699VbLMYxXpGwt2LlzJ6+65gaua57NZVNmkBy7V4leuuAu2i3ZNyZesxNCfotXjx8i1uJIyhGT7fCRnb72PWomVMFDLy9Ys6p+CRaso1gol2wqBc+dOcHjQ0f5ycO/YvXq1ZZjGc9I2drQ09PDK69+GS0nBnnljKU01CmOpQvOxFtncKlwSV0b8ZaU9Shh8F/EtoQgX+v+nR8SpkJ10I+RVE3767UR7MCYYA0eiohgwV6yI6MqD5/Yy7mp9fzi8UeYPHmy0NjHK1K2AmQyGf72wx/hkTvv521zLmRiY86ueulqfxeVrnZ1kvbeDHnsxFvStgMJgz8i1uKblCMkW1cStSB1ptdReTuplrQ9UB7BpgbNn0u3kgXoHU5x37GtXPmmV/G1b3ydREJ8no5XpGwdcP/99/PhP38P6yYs5KKOGdTlZWshXS2G63bN0gYG4i1py8fo17C+zyK2okzSAci2RJoBT3mnQtUjHLWa7Xcg2FGDrlKj5b/nJTuagi1nT7B+4AD//I0v89a3vtVyLJIiUrYOOX36NG9++Ws4secgb5i+mvbGBsfSBQPxWsjVq3hL2vIo4bL2QpSyb7hdHeBRonq8Rq0l+z0KFuwl2zM0wv8e30rH0rl87+f3M23aNNtxS4pI2brk5//7AO97x19wTds81k6ejaIoZdIFY9nqt5mmHGwk66eEwX8Rl7QdJSnrc6U+S1SLE6GCN6mCWGoASsVqtE0rWVVVefZMF785v5+v/ve3eeOfydUGbpCy9UBvby+3vvTl7Nu3nzfNXEPn2A02/JYueBdvST8OJVzWV4BSDgyDewJ4walE9dhJtaSsS8GCN8kCnB4c4kddLzBz/mzuf/JhJk0Sv7mPpBQpWx/48f/czQff/0FWt8xl3dT51NflErFG0tUikm4AZymHsj4clAXvIi7pO0pSFpStV4lqcSJUsJdqSVnB1AAYpwfKyugkOzqq8rvTh9h0/gBf+vqXeet7/kJ4bBJjpGx9YnBwkFeveCl7TxzhDdPXMLOxtSDZOm2EayBevWhF87xl7VSJhKOMm6MhTKnqEcm/Gv0NRcFCUbKpFJwYGuCnJ55n0bwF/OSZ9bS0tAiPV2KOlK3P3Pvl/+RjH/9HFjdN5+r2RUxoiBkK1izqNROtk5RDWd0AJWxHtUl61OICAKfo17MCprdrsJOqFpHUgNF2I7lq9/UOq/zh3D62DxzlW//xLV7/F3KlgZ9I2QbA6Ogob7zkRjbv3cqrpqxhev1E6hJQF8/t1wrWLOq1Sis4STlY4VSsfou4FjAUqk/lRVMDVvvMBFtIG2RgNA0nR3r5RfcLrFm4jJ/8cT319Q4mkkQIKdsA2bFjBzdffA0z69tZ17GU5jHbOpGuFpF0g+nlvhaCLivrUaq1IGWnEvVS30qqZe0KpAdATLIAg6ksvz27h/1Dp/jVxsdZs2aN+GAkjpCyDZhMJsNNnRexre8wl7Ut4pIJs2hIjp1AixfLGeV3tYimG8BhdBuihN0i2q9XQbohLKla7UuljMtp87CFbWOSHU6pPNfbxTPn97Ji4lwePrZZXgUWMFK2IXHq1CluWXo1B/tPcWnrIi6dONNSulr0AhaNfMvaCUjCZXXHeWSbl6HIkWUlVav9esHqc7D6MnnJjqRUtvUd5/fn9zCraQo/3/Fbpk+3/hJSiT9I2YbMpkee5L1v+guODnRzxYTFLG+eTmtDuXTz6MUqkm4AZ7IMS8J+oBV5JSJZLXaiLLkzl4Pv0bSMam1OcunJS7ZvWGXX4Ak2nN/DrAmdfOvu/2Tty68VH5TEM1K2FWLXlu2848Y/5WjPSa6YsJilTdOoH/serDrNpzmzqNcs3aAvV7YvIAlbUWlBi+BEhlb4liowSQ2AcQ4WimKF3EkvgJG0yp7BU/zh/G7mTJ3JXQ//mCXLlogPUuIbUrYV5tChQ7znzX/Ols3Pc+WEJSxu6nQkXS1uBQzuheiXkKsBJyLV44dYzeoYSXY0Ay8OnuL3PbuZPXMmd/zqhyxbFsxXF0nEkLKNCPv27eOj7/0Qm5/cyOUtF7CgqZOWZHFpQZ3BuQsRAYM3CRfKeYhOq0HIQYm0pJyFVMG5WAvbNEuD+1MqB4dOs7F3NwuXL+Y/f/hd+YWLEUHKNmLs2bOHj//dP/Ds+j9wWdMi5jVOpi5WntM1i3q1WOV7rRAVMFRHisAvHOVdbcSaRyTvCsbRq3b7aFbl8NAZNg3tY9U1l/KvX/w8y5eH+11yEmukbCPKjh07+OQnPsEfH93AhXXzWdBUlC4UBWsU8Wr35xERqJ2MnUhYlDBl7VdetqRNl9GqVRtG0SuUpggK27IqBwbP8kLqACuuvZjPfPaz8qtpIoqUbcTZsmULn/nMZ9i64TlmDbWxpHEGzYmc9YzkC/4KGMQjYj1ByDloRCNSPSJSNWrfTqz6MqNjN9QZTKfYM3yco429LL5kBZ/85Ce5+OKLHYxYEjZStlVCV1cXd999N3f9z3eJdadYUjeDhU2TUcYuGTNKNWjRC9isnBYnsnQrZD/61uNWmGaIilS0b71gR01ux6BNEUDuvrL7h86ye7SL9OQEb7/9Hdx2223Mnj1bfICSiiFlW2WoqspTTz3FN77ydZ548DFmJzu5pHUezfEGktpI1yTq1SIaAevxGrH6LWY3OBGoEbbpA4GI1az8qOZ2kKmsykBmmOf6D3M0083VN1/H+z7wfq699lpiseq/eGQ8IWVbxfT29nLvvffy5c98gXTvCEuSM5jTMJXGeNGWeQFr5QvOBWxVR081pg/0CJ/gMpEqiIkVinJNaSQ7nMlweOQUe1LHSdfBxz7197ztbW9j4sSJYgOTRA4p2xphx44dfOoj/8Rjv3mcaYl2ljbNZmrdBCAn2mSs/A41fghYpL4bopJGsJJpSTmHYtWSyqqF7adGe9k1eITj6TNcf911fPJLn2XVqlVOhiyJKFK2NUYqleJ7d9zD5/7x0/T197GwYSYrmmdRF0uWyNVIvlAu4MJ2C5GKyli0vaARFWhJHYvb3JqmDEy+HUIbwY5mVVLZNNsHj/DiUBctzc38n3/+JG//y3dQVzeO1tWNA6Rsa5jjx49zzz338NV//hL1I3Gm101mev1kptW1FsoYyVUvYjcCNsONmIPCSqCmdQTFmjIQrbbMydE+jo+e4fjoaYaTaT7wD3/DbbfdxsyZM8vqSWoDKdtxgKqqbNu2jf/68rd54ne/pevoUSbF25hdP4VpdR20JxvL6ugF6zQSLitXwUjWDuFUgUCkalbubGqIk6NnOZ46Q09sgAtfcgnr1q3jxhtvZPXq1YVVJZLaRcp2HDI6OsqGDRu4+z/v5JEHH2Z4YIgZjVOYFp/E5OQkGmPF8LNOc8bbTKxmItYiKuVKYCZRLUaRqr7uaLZ4F7LhbJrTqR5OZs5xdKib+uZ6bnr5zbz9Xbdx5ZVX0tAQoS/DlISClK2Ec+fOsf6R9fzkRz/ht48/AUNZ5rfNoCPTysREC/WxYlhaZ7LcSESmIlIOGzOJajGTsVauI9kM5zP9nIn10zV0itiEOm561c2sW7eOl73sZbS3t/s2Zkl1ImUrKePgwYOsX7+en/30Z2x8cgOT6troyLTSHm9jYqKZmJITbp1iJl73Qg4bEZGWbFdz27Nqlp70IOcyvZyJ93F29DyXXXU5r3nDa1m3bh0LFiwIbMyS6kTKVmJJNpvlhRde4NFHH2Xz5s3s27ePQ7sOkkjFaE0005Fooy3eTHuihWSs/OyXUyGHgZ1ItaTUNOdS/fRmBoh11HH4ZBeZBpg2bzoLFizg4osv5sYbb+Siiy4iHo9wYlpScaRsJY7JZDIcPHiQXbt2sXPnTnbt2sVvH3mC0ye7qVfqmDpxCvEBaI03055opSFWh6IoJGxOApmJ2QtGAtWSVlVUVWVEHeVsqo/ezADZFoXT/WcZGB2kta2Nq667iksuv5SlS5eybNky5s2bJ7+vS+IYKVuJb6iqSnd3d0HCeRFvfupZMqNp2psmkUjFSCpx6pUkCSVBQomTjCVoiNWRVOIklQQJJUHcg3gzapa0mialpkmpGYazo6TVDKlsmrSaZkRNkVYzpJNZzg72kI2pLLhgAS992dUsW7asINXOzk65SkDiG1K2klAYGBhg9+7dHDlyhL6+Pnp7e0v+37NlN3t37EFVVJS6GKlUimwmSzabJZvOEldipIdSJIiTjCcZzaTIqBmU+jiqkiUWjxOLxVDiCnXJOrKjWWKqwsLlF7B0zVLa2tpobW0t/N/a2srs2bNZsmQJLS0tlX56JOMAKVtJ5FFVlcHBQfr6+ujr62NgYICmpqaCPJuammQEKok8UrYSiUQSAvIebRKJRBICUrYSiUQSAlK2EolEEgJSthKJRBICUrYSiUQSAv8f68zuou9kYVkAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dudtspec = paddle.zeros([3, solver.lmax, solver.mmax], dtype=paddle.complex128)\n",
    "nnew = 0\n",
    "nnow = 1\n",
    "nold = 2\n",
    "\n",
    "uspec = uspec0.clone().to(device)\n",
    "# pde = 'allen-cahn'\n",
    "pde = 'ginzburg-landau'\n",
    "\n",
    "\n",
    "# prepare figure for animation\n",
    "fig = plt.figure(figsize=(8, 6), dpi=72)\n",
    "moviewriter = animation.writers['pillow'](fps=20)\n",
    "moviewriter.setup(fig, pde+'.gif', dpi=72)\n",
    "\n",
    "\n",
    "with paddle.no_grad():\n",
    "    for iter in range(maxiter+1):\n",
    "        t = iter*dt\n",
    "\n",
    "        if iter % 20 == 0:\n",
    "            print(f\"t={t:.2f}\")\n",
    "            plt.clf()\n",
    "            solver.plot_specdata(uspec, fig, cmap=cmap)\n",
    "            plt.draw()\n",
    "            moviewriter.grab_frame()\n",
    "\n",
    "        dudtspec[nnew] = solver.dudtspec(uspec, pde=pde)\n",
    "        \n",
    "        # forward euler, then 2nd-order adams-bashforth time steps to start.\n",
    "        if iter == 0:\n",
    "            dudtspec[nnow] = dudtspec[nnew]\n",
    "            dudtspec[nold] = dudtspec[nnew]\n",
    "        elif iter == 1:\n",
    "            dudtspec[nold] = dudtspec[nnew]\n",
    "\n",
    "        uspec = uspec + solver.dt*( (23./12.) * dudtspec[nnew] - (16./12.) * dudtspec[nnow] + (5./12.) * dudtspec[nold] )\n",
    "\n",
    "        # implicit hyperdiffusion for vort and div.\n",
    "        # uspec[1:] = swe_solver.hyperdiff * uspec[1:]\n",
    "        # switch indices, do next time step.\n",
    "        nsav1 = nnew\n",
    "        nsav2 = nnow\n",
    "        nnew = nold\n",
    "        nnow = nsav1\n",
    "        nold = nsav2\n",
    "\n",
    "\n",
    "moviewriter.finish()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.13"
  },
  "vscode": {
   "interpreter": {
    "hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
